Fractal art is a form of visual art. In mathematics, a fractal is an abstract object used to describe and simulate naturally-occurring objects. Artificially created fractals commonly exhibit similar patterns at increasingly small scales, which is also referred to as expanding or evolving symmetry.


Scotland-based visual artist Tom Beddard has devoted himself to researching fractal art and design. As a laser physicist-turned-artist and web developer, Beddard has produced a number of intriguing geometric forms, which he refers to as Fabergé Fractals. Like an ornate Fabergé egg, Beddard’s creations boast brilliant and intricate design patterns. The Scotland artist uses a formulaic method to create digitally-rendered three-dimensional models.


Beddard explains: “The 3D fractals are generated by iterative formulas whereby the output of one iteration forms the input for the next. The formulas effectively fold, scale, rotate or flip space. They are truly fractal in the fact that more and more detail can be revealed the closer to the surface you travel.”


“The fascinating aspect is where combinations of parameters can combine to create structural ‘resonances’ of extraordinary detail and beauty – sometimes naturally organic and other times perfectly geometric. But then like a chaotic system it can completely disappear with the smallest perturbation”, says Beddard.


He goes on to say, “As fractals have made the beauty of mathematics more intuitive and accessible, it has also been favored by many artists. Filling these fractals with colors Fractal art is the sovereign beauteousness of pure mathematics has turned into a ravishing missing word and is acclaimed as the peak of perfection in the fractal artwork.”


The hidden mystery and beauty of fractal art are what compels people to want to explore it. Even if they do not understand the esoteric mathematical philosophy behind it, they are nonetheless touched by it. Fractal art makes people realize the fusion of science and art, as well as the unification of mathematics and artistic aesthetics. Fractal geometry not only showcases the beauty of mathematics, but also reveals the essence of the world, changes the way in which people understand the mystery of nature, and expands the human cognitive domain.